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A200760 Number of 0..4 arrays x(0..n-1) of n elements with nondecreasing average value 2
5, 15, 42, 113, 297, 767, 1957, 4947, 12419, 31006, 77067, 190855, 471214, 1160452, 2851731, 6995305, 17133294, 41909286, 102399361, 249960246, 609662706, 1485944622, 3619527395, 8811972483, 21443566290, 52161461882, 126839318918 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A200763

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 18*a(n-1) -147*a(n-2) +718*a(n-3) -2324*a(n-4) +5207*a(n-5) -8163*a(n-6) +8783*a(n-7) -5967*a(n-8) +1216*a(n-9) +4359*a(n-10) -12032*a(n-11) +21061*a(n-12) -25355*a(n-13) +19242*a(n-14) -4565*a(n-15) -10182*a(n-16) +15832*a(n-17) -9350*a(n-18) -2623*a(n-19) +9836*a(n-20) -8451*a(n-21) +2304*a(n-22) +2965*a(n-23) -4284*a(n-24) +2384*a(n-25) -124*a(n-26) -752*a(n-27) +543*a(n-28) -103*a(n-29) -133*a(n-30) +128*a(n-31) -53*a(n-32) +19*a(n-33) -12*a(n-34) +3*a(n-35) +9*a(n-36) -6*a(n-37) -a(n-38) +2*a(n-39) -a(n-41)

EXAMPLE

Some solutions for n=8

..0....0....0....0....0....0....0....0....1....0....1....0....1....1....0....0

..0....1....0....2....2....1....0....1....1....2....1....0....1....1....4....0

..0....2....0....1....2....1....3....2....4....1....1....0....2....2....4....4

..2....2....1....2....3....1....1....1....3....1....4....4....4....3....3....2

..2....2....3....4....2....2....3....2....3....1....2....4....2....3....3....3

..3....3....2....2....4....2....3....4....3....2....4....2....2....4....3....2

..2....2....4....3....3....4....3....3....4....2....4....2....2....3....3....3

..4....2....4....2....4....2....2....4....4....2....3....4....4....3....3....3

CROSSREFS

Sequence in context: A211380 A053731 A111295 * A032193 A178965 A005665

Adjacent sequences:  A200757 A200758 A200759 * A200761 A200762 A200763

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 22 2011

STATUS

approved

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Last modified May 19 05:05 EDT 2019. Contains 323377 sequences. (Running on oeis4.)